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Question 9 of 10 The function g(x) = 1 |x is a transformation of the absolute value parent function. Which graph shows g(x)?

User Nickvans
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1 Answer

16 votes
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Notice that the new function g(x) is the same as the parent function f(x) multiplied by a scale factor of 1/2.

That means that the SLOPES associated with the new function will be LESS steep than the original ones. But there will be NO shift in any vertical or horizontal component. Both function should have the vertex at the origin.

Allow me to make a graph for you to see the comparison of both functions.

As you can see, the function in blue is the original f(x), and the function in orange is the new transformed g(x).

For both, the vertex is at the origin of coordinates, and the new function (g(x) presents slopes that are less steep than those of the original f(x).

Please select a graph that shows this behavior among your possible answers.

Question 9 of 10 The function g(x) = 1 |x is a transformation of the absolute value-example-1
User Calmarius
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